The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  3 24  0 21 24 21  6  0  9 21 24  0 12 15  9 12 24  9 21  9  6 12  6 18 12  6  0  0  9  9 21 21 12 12 24 24  6 15 18 21  6  9  3 24 18  3  9 15 18 21 15  3 15  3 15  0  3  0 15  3 12 18  6  6 12  3  6 24 15 21  9 18  0
 0  0  9  0 18 18  9  0  9 18 18  0  9  0  9  9  0  9 18  9  0 18  9  0 18 18 18  0  9 18  9 18  9  9 18  9 18 18  9 18  0  0  0 18  0  9  0  0 18  9  0  9 18 18  9  0 18  9 18  0  9 18  0  9  9  0  0  9  0  0  0  9  9 18
 0  0  0  9  9 18 18  9 18  9 18 18  0 18 18  9  9  9 18  9 18  9  0  0  0  0  0 18  9  0  0  0  0 18  9 18  0 18  9  9  0 18  0 18  9 18 18  9  9  9  9  0  9  0  9  0 18  0  0 18 18 18 18  0 18  0  9  9  0  9 18 18  0  9

generates a code of length 74 over Z27 who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+18x^144+48x^145+144x^146+32x^147+1692x^148+144x^149+16x^150+36x^151+36x^152+8x^153+6x^154+4x^156+2x^222

The gray image is a code over GF(3) with n=666, k=7 and d=432.
This code was found by Heurico 1.16 in 0.226 seconds.